Question:
A charged particle enters a uniform magnetic field with a certain speed at right angles to it. In the magnetic field a change could occur in its
A charged particle enters a uniform magnetic field with a certain speed at right angles to it. In the magnetic field a change could occur in its
Updated On: Oct 27, 2024
- kinetic energy
- angular momentum
- linear momentum
- speed
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The Correct Option is C
Solution and Explanation
Force acting on particle due to magnetic field $B$ is
$F=q \vec{v} \times \vec{B}$...(i)
and centripetal force is $F=\frac{m v^{2}}{r}$...(ii)
From Eqs. (i) and (ii), we get
$B=\frac{m v}{r q}=\frac{\text { linear momentum }}{\text { charge }}$
$F=q \vec{v} \times \vec{B}$...(i)
and centripetal force is $F=\frac{m v^{2}}{r}$...(ii)
From Eqs. (i) and (ii), we get
$B=\frac{m v}{r q}=\frac{\text { linear momentum }}{\text { charge }}$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.